Analysis of the one-dimensional Yut-Nori game: Winning strategy and avalanche-size distribution

作者:Park Hye Jin*; Sim Hasung; Jo Hang Hyun; Kim Beom Jun
来源:Journal of the Korean Physical Society, 2013, 63(8): 1497-1502.
DOI:10.3938/jkps.63.1497

摘要

In the Korean traditional board game Yut-Nori, teams compete by moving their pieces on a two-dimensional game board, and the team whose all pieces complete a round trip on the board wins. In every round, teams throw four wooden sticks of the shape of half-cut cylinders and the number of sticks that show belly sides, i.e., the flat sides, determines the number of steps the team%26apos;s piece can advance on the board. It is possible to pile up one team%26apos;s pieces if their sites are identical so that pieces as a group can move together afterwards (piling). If a team%26apos;s piece(s) arrives at a site occupied by an opponent%26apos;s piece(s), it is caught and removed from the board, and the team is given one more chance to throw the sticks and proceed (catching). For simplicity, we simulate this game on a one-dimensional board with the same number of sites as the original game and show that catching is a more advantageous strategy than piling to win. We also study the avalanche-size distribution in the thermodynamic limit and find that it follows an exponential form.

  • 出版日期2013-10

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